2523105000 has 480 divisors, whose sum is σ = 9722512800. Its totient is φ = 585792000.

The previous prime is 2523104993. The next prime is 2523105001. The reversal of 2523105000 is 5013252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2523105001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11114887 + ... + 11115113.

It is an arithmetic number, because the mean of its divisors is an integer number (20255235).

Almost surely, 2^2523105000 is an apocalyptic number.

2523105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861256400).

2523105000 is an abundant number, since it is smaller than the sum of its proper divisors (7199407800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2523105000 is a wasteful number, since it uses less digits than its factorization.

2523105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2523105000 is about 50230.5186116966. The cubic root of 2523105000 is about 1361.3771013630.

Adding to 2523105000 its reverse (5013252), we get a palindrome (2528118252).

The spelling of 2523105000 in words is "two billion, five hundred twenty-three million, one hundred five thousand".